Question

QUESTION 2 True or False: In a very large normally distributed data set, same measures of center are all essentially the same O True False QUESTION 3 True or False: In a Histogram graph, the mean influenced by extreme values and the median is less likely to be influenc O True O False QUESTION 4 If I want to know if my set of data follows a Normal Distribution, what type of graph provides me those results? Run Chart Dotplot Histogram

Answer 1

2. In a very large normally distributed data set, same measures of center are all essentially the same is a true statement because the normal distribution is a symmetric distribution and for symmetric distribution mean, median, and mode coincide at same point. 3. In a Histogram graph, the mean is influenced by extreme values and the median is less likely to be influenced is true . Suppose we have a data regarding the weights (in kg) of 10th class students, say 50, 45, 60, 54, 52, 49, 65, 55. The mean for this data will be 50 +45 +60 +54 +52 +49 +65 +55 = 53.75 Now suppose, the sample drawn is 50, 45, 60, 54, 52, 49, 65, 125. Now, the mean is 50+45 60 +54 +52 +49 +65 +125 -= 62.5. It can be seen that the mean increases as an 8 extreme value is added in the sample. Thus, mean gives a distorted picture in the presence of the extreme values. Median is the middle value, so it does not get affected by the extreme values. To check whether the set of data follows a normal distribution, histogram is used.